CALCS PROC047
UNIVERSAL BEAM, TORSIONAL/FLEXURAL BUCKLING

NOTATION

ddepth, beam
llength, beam
I2nd MoA, about vertical axis
Jtorsional constant
Mmoment
Pcforce, cantilever
Pssforce, simple supports
M'moment, critical
Pc'force, cantilever, critical
Pss'force, simple supports, critical

APPLICATION

UB subject to transverse force, simply supported with central point force, cantilever with end point force or constant moment

OUTPUT

Maximum elastic stability limited applied force

SEE ALSO

PROC044

THEORY

Roark5 Table 34

GUIDANCE

guidance notes

INPUT FORMAT

LET Nm=:Nk=:d=:l=:I=:J=:M=:P=:Pss=:PROC047

EXAMPLE

Call Statement

LET Nm=1:Nk=1:d=39:l=235:I=490:J=280:M=3000:Pc=37:Pss=29:PROC047

Output

PROC047 UNIVERSAL BEAM, TORSIONAL/FLEXURAL STABILITY, Rev 101096
Mi14= PI*SQR(E(Nm)*I*J*G(Nm)*(1+PI^2*I*E(Nm)*d^2/(2*J*G(Nm)*l^2)))/(l)= 8087
Pi15= (4.01+11.7*SQR(I*E(Nm)*d^2/(2*J*G(Nm)*l^2)))*SQR(E(Nm)*I*J*G(Nm))/(l^2)= 59.74
Pi16= (16.93+45*(I*E(Nm)*d^2/(2*J*G(Nm)*l^2))^.8)*SQR(E(Nm)*I*J*G(Nm))/(l^2)= 188
UF= ABS(M)/(Kcr(Nk)*Mi14)= 0.5537
UF= ABS(Pc)/(Kcr(Nk)*Pi15)= 0.9244
UF= Pss/(Kcr(Nk)*Pi16)= 0.2302
END047